 Practice set 12, read the following metric tape measures and
fill in the blanks. On a metric ruler the smallest division is usually one millimeter and in this first ruler given here, we have a
break so we’re not seeing the beginning of this ruler. The indication of
where we’re at as this 1m, m is the abbreviation that we use
for meter so we’re seeing that this is 1 meter. 1 meter is equivalent to 100 centimeters and that is based on going with the prefix is used in the
metric system. Whe’re given its 1 meter converting it into centimeters will move the decimal place 2 to the
right and to convert into millimeters will move our centimeter value decimal places 1 more to the right, which means we have an equivalent of 1000 millimeters and the reason we’re going in millimeters is because of the fact previously
stated the smallest division on most metric
rulers is one millimeter and if worse here at one meter or equivalent to 1000 millimeters and
the next number indicated is 10 they’re telling
us we have moved 10 millimeters I to the right of that one
meter. So what we’re trying to determine is the length of this line given so
we’re at 1000 meters we’re adding 10-20-30-40-50-60 and a part of the next 10 millimeters onto that and if we’d
look here we’re at still looks like nine past the sixty so we would add on a 69 millimeter length onto our one meter or
the equivalent of 1,000 millimeters for a total of 1069 millimeters for this length. Their asking
us then to convert that into equivalent centimeters and meters and if we go back to the
metric prefix here we have millimeters and we’re going to centimeters from
millimeters, what we have to what we want we’re moving our decimal place 1 to the left so here its understood to be a pass to nine moving it 1 to the left gives us an equivalent 106.9 and if we then take that centimeter and
converted to meters which would be a base unit where
at centi we’ll move it 1 – 2 decimal
places for the base prefix or measurement for length. 2 decimal
places from its current location to the left gives us a value of 1.069 meters. On problem number two all they’re asking us to determine
the length of this line here this ruler also has a break on it and with the
assumption that the smallest division is
millimeters. Looking at the scale the and the values given we have a 700 here which is an indication of 700 millimeters. Going along 700…. 10-20-30-40-50 so on would
bring us up to 800 millimeters with each one of these divisions here showing us there’s ten
divisions 10 millimeters they’re showing us the
value of the increments here. So where are
we with the end up this line we’re at 700… 10-20-30-40- 50 and it looks like 1 millimeter
past 50, so we will and on 51 millimeters on to that value, for a total
751 millimeters, similar to the
previous problems. We’re going to convert that measurement
into centimeters, we’re at millimeters
currently because of the metric ruler shown here moving it to centimeters requires
us to move 1 decimal place to the left because up the fact these prefixes are
right next to one another. The implied decimal place passed the 1 on the right hand side moving it 1 to the left gives us a 75.1 centimeter and if you recall in the previous problem we were at centi and to move to meters then for the final
answer centimeters 1 to decimeters, 2 to the base meter, measurement in lengths gives just 2 decimal places to the left and value of
.751. The third ruler that they
have here again has a break this time we have a 2m which tells us that we have 2 meters and if we convert that into millimeters we’re at a base value with meters. We’re moving at 1-2- 3 places to an equivalent
millimeters, because of the smallest division on
a metric ruler so this would be equivalent to 2000 millimeters and to determine the length
of the line then we are 10-20 and some change. If you
count that we’re at five with this halfway mark, 6-7 places so we would say this is 2000 plus 27 millimeters. adding those together we end up with a
value 2027 millimeters. Converting Milli to Centi is 1 decimal place to the
left 202.7 and if we’re at Centi meters and going to the base with no
prefix on it 2 decimal places to the left gives
us a value if 2.027 meters.